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Finding the Fourth Proportional to 109,463.40, 164,195.10 and 62,677.80

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Solution

The fourth proportional to 109,463.40, 164,195.10 and 62,677.80 is: 94,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,463.40 : 164,195.10 = 62,677.80 : x
  2. Step 2: Convert to fraction form
    109,463.40/164,195.10 = 62,677.80/x
  3. Step 3: Cross multiply
    109,463.40x = 164,195.10 × 62,677.80
  4. Step 4: Simplify right side
    109,463.40x = 10,291,387,638.78
  5. Step 5: Solve for x
    x = 10,291,387,638.78/109,463.40
  6. Step 6: Final answer
    x = 94,016.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.